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| Mirrors > Home > MPE Home > Th. List > expcomd | Structured version Visualization version GIF version | ||
| Description: Deduction form of expcom 413. (Contributed by Alan Sare, 22-Jul-2012.) |
| Ref | Expression |
|---|---|
| expcomd.1 | ⊢ (𝜑 → ((𝜓 ∧ 𝜒) → 𝜃)) |
| Ref | Expression |
|---|---|
| expcomd | ⊢ (𝜑 → (𝜒 → (𝜓 → 𝜃))) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | expcomd.1 | . . 3 ⊢ (𝜑 → ((𝜓 ∧ 𝜒) → 𝜃)) | |
| 2 | 1 | expd 415 | . 2 ⊢ (𝜑 → (𝜓 → (𝜒 → 𝜃))) |
| 3 | 2 | com23 86 | 1 ⊢ (𝜑 → (𝜒 → (𝜓 → 𝜃))) |
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